{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,26]],"date-time":"2026-07-26T09:48:13Z","timestamp":1785059293798,"version":"3.55.0"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,10,7]],"date-time":"2017-10-07T00:00:00Z","timestamp":1507334400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Baghdadi ALOUI"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Period Math Hung"],"published-print":{"date-parts":[[2018,3]]},"DOI":"10.1007\/s10998-017-0219-7","type":"journal-article","created":{"date-parts":[[2017,10,7]],"date-time":"2017-10-07T15:48:37Z","timestamp":1507391317000},"page":"126-132","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Chebyshev polynomials of the second kind via raising operator preserving the orthogonality"],"prefix":"10.1007","volume":"76","author":[{"given":"Baghdadi","family":"Aloui","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2017,10,7]]},"reference":[{"issue":"8","key":"219_CR1","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1080\/10652469.2012.744006","volume":"24","author":"B Aloui","year":"2013","unstructured":"B. Aloui, F. Marcell\u00e1n, R. Sfaxi, Classical orthogonal polynomials with respect to a lowering operator generalizing the Laguerre operator. Integral Transforms Spec. Funct. 24(8), 636\u2013648 (2013)","journal-title":"Integral Transforms Spec. Funct."},{"issue":"2","key":"219_CR2","first-page":"85","volume":"6","author":"B Aloui","year":"2014","unstructured":"B. Aloui, Hahn\u2019s problem with respect to a third-order differential operator. Transylv. J. Math. Mech. 6(2), 85\u2013100 (2014)","journal-title":"Transylv. J. Math. Mech."},{"issue":"1\u20132","key":"219_CR3","first-page":"1","volume":"38","author":"MJ Atia","year":"1999","unstructured":"M.J. Atia, J. Alaya, Some classical polynomials seen from another side. Period. Math. Hung. Vol. 38(1\u20132), 1\u201313 (1999)","journal-title":"Period. Math. Hung. Vol."},{"key":"219_CR4","doi-asserted-by":"crossref","first-page":"730","DOI":"10.1007\/BF01180560","volume":"29","author":"S B\u00f6chner","year":"1929","unstructured":"S. B\u00f6chner, \u00dcber Sturm-Liouvillesche Polynomsysteme. Z. Math. 29, 730\u2013736 (1929)","journal-title":"Z. Math."},{"key":"219_CR5","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.jmaa.2006.09.068","volume":"332","author":"H Chaggara","year":"2007","unstructured":"H. Chaggara, Operational rules and a generalized Hermite polynomials. J. Math. Anal. Appl. 332, 11\u201321 (2007)","journal-title":"J. Math. Anal. Appl."},{"key":"219_CR6","volume-title":"An Introduction to Orthogonal Polynomials","author":"TS Chihara","year":"1978","unstructured":"T.S. Chihara, An Introduction to Orthogonal Polynomials (Gordon and Breach, New York, 1978)"},{"key":"219_CR7","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1515\/GMJ.2003.481","volume":"10","author":"G Dattoli","year":"2003","unstructured":"G. Dattoli, P.E. Ricci, Laguerre-type exponentials, and the relevant L-circular and L-hyperbolic functions. Georgian Math. J. 10, 481\u2013494 (2003)","journal-title":"Georgian Math. J."},{"key":"219_CR8","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1007\/BF01201380","volume":"39","author":"W Hahn","year":"1935","unstructured":"W. Hahn, \u00dcber die jacobischen polynome und zwei verwandte polynomklassen. Math. Z. 39, 634\u2013638 (1935)","journal-title":"Math. Z."},{"key":"219_CR9","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1002\/mana.19490020103","volume":"2","author":"W Hahn","year":"1949","unstructured":"W. Hahn, \u00dcber Orthogonalpolynome, die $$q$$ q -Differenzengleichungen gen\u00fcgen. Math. Nach. 2, 4\u201334 (1949)","journal-title":"Math. Nach."},{"key":"219_CR10","doi-asserted-by":"crossref","unstructured":"T.H. Koornwinder, Lowering and raising operators for some special orthogonal polynomials, In: Jack, Hall-Littlewood and Macdonald Polynomials, Contemporary Mathematics, vol. 417, (2006)","DOI":"10.1090\/conm\/417\/07924"},{"key":"219_CR11","unstructured":"P. Maroni, Fonctions eul\u00e9riennes, Polyn\u00f4mes orthogonaux classiques. Techniques de l\u2019ing\u00e9nieur A 154, 1\u201330 (1994)"},{"key":"219_CR12","unstructured":"P. Maroni, Une th\u00e9orie alg\u00e9brique des polyn\u00f4mes orthogonaux. Application aux polyn\u00f4mes orthogonaux semi-classiques, in Orthogonal Polynomials and their Applications, Annals on Computing and Applied Mathematics, vol. 9, ed. by C. Brezinski et al. (Baltzer, Basel, 1991), pp. 95\u2013130"},{"key":"219_CR13","first-page":"209","volume":"313","author":"P Maroni","year":"1991","unstructured":"P. Maroni, Variations autour des polynmes orthogonaux classiques. C. R. Acad. Sci. Paris Sr. I Math. 313, 209\u2013212 (1991)","journal-title":"C. R. Acad. Sci. Paris Sr. I Math."},{"key":"219_CR14","first-page":"1","volume":"18","author":"NJ Sonine","year":"1887","unstructured":"N.J. Sonine, On the approximate computation of definite integrals and on the entire functions occurring there. Warsch. Univ. Izv. 18, 1\u201376 (1887)","journal-title":"Warsch. Univ. Izv."},{"key":"219_CR15","first-page":"415","volume":"141","author":"HM Srivastava","year":"2003","unstructured":"H.M. Srivastava, Y. Ben, Cheikh, Orthogonality of some polynomial sets via quasi-monomiality. Appl. Math. Comput. 141, 415\u2013425 (2003)","journal-title":"Appl. Math. Comput."}],"container-title":["Periodica Mathematica Hungarica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10998-017-0219-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-017-0219-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-017-0219-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,4]],"date-time":"2022-08-04T02:51:36Z","timestamp":1659581496000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10998-017-0219-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,10,7]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,3]]}},"alternative-id":["219"],"URL":"https:\/\/doi.org\/10.1007\/s10998-017-0219-7","relation":{},"ISSN":["0031-5303","1588-2829"],"issn-type":[{"value":"0031-5303","type":"print"},{"value":"1588-2829","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,10,7]]}}}